Existence of solution for some quasilinear parabolic systems with weight and weak monotonicity
El Houcine, Rami
We prove the existence of weak solution u for the nonlinear parabolic systems: which is a Dirichlet Problem. In this system, v belongs to , f and g satisfy some standards continuity and growth conditions. We prove existence of a weak solution of different variants of this system under classical regularity for some growth and coercivity for ? but with only very mild monotonicity assumptions.